1
WB JEE 2011
+1
-0.25

If the coordinates of one end of a diameter of the circle $${x^2} + {y^2} + 4x - 8y + 5 = 0$$ is (2, 1), the coordinates of the other end is

A
($$-$$6, $$-$$7)
B
(6, 7)
C
($$-$$6, 7)
D
(7, $$-$$6)
2
WB JEE 2023
+2
-0.5

The locus of points (x, y) in the plane satisfying $${\sin ^2}x + {\sin ^2}y = 1$$ consists of

A
a circle centered at origin
B
infinitely many circles that are all centered at the origin
C
infinitely many lines with slope $$\pm$$1
D
finitely many lines with slope $$\pm$$1
3
WB JEE 2022
+1
-0.25

A curve passes through the point (3, 2) for which the segment of the tangent line contained between the co-ordinate axes is bisected at the point of contact. The equation of the curve is

A
$$y = {x^2} - 7$$
B
$$x = {{{y^2}} \over 2} + 2$$
C
$$xy = 6$$
D
$${x^2} + {y^2} - 5x + 7y + 11 = 0$$
4
WB JEE 2022
+1
-0.25

If the equation of one tangent to the circle with centre at (2, $$-$$1) from the origin is 3x + y = 0, then the equation of the other tangent through the origin is

A
$$3x - y = 0$$
B
$$x + 3y = 0$$
C
$$x - 3y = 0$$
D
$$x + 2y = 0$$
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